菲涅尔多缝衍射的数值计算

本文直接由菲涅尔一基尔霍夫衍射积分公式出发,通过数值积分的方法,计算菲涅尔单缝、双缝以及多缝衍射的光强分布,绘制出其相应的光强分布曲线.同时给出了计算菲涅尔多缝衍射的光振动分布的具体表达式.研究结果对于理解菲涅尔衍射现象具有重要的理论参考意义.     

Design of off-axis reflective projection lens using spherical Fresnel surface

In this paper, an off-axis reflective projection lens with single Fresnel reflective surface and three aspheric surfaces were designed. The design method of reflective lens using spherical Fresnel surface is discussed. The MTF (Modulation Transfer Function) of the off-axis reflective lens, with optical magnification 100×, F-number 2.5 and field of view 120°, is over 40% at 0.6 lp/mm on the image side, the distortion is less than 2%. This design method can provide reference for application of Fresnel surface in wide field of view imaging, and possesses a bright future with the continuous development of fabrication technique.     

Liquid crystal Fresnel lens display

A novel see-through display with a liquid crystal lens array was proposed.A liquid crystal Fresnel lens display(LCFLD) with a holographic screen was demonstrated.The proposed display system has high efficiency,simple fabrication,and low manufacturing cost due to the absence of a polarizer and color filter.     

菲涅耳微透镜列阵衍射效率的测试与分析

归纳了目前二元位相型菲涅耳微透镜列阵衍射效率测试中所用各种衍射效率的不同定义，提出规范定义的建议。并设计了测量衍射效率的系统，方法简单易行，适于测试具有微小单元尺寸的菲涅耳微透镜列阵的衍射效率。     

用于太阳光泵浦激光器的菲涅耳透镜设计方法

建立并分析了太阳光点聚焦型菲涅耳透镜的理论模型。提出了适用于太阳光泵浦激光器的设计方法。综合考虑会聚总功率和功率密度提高倍数两个因素,合理设计了菲涅耳透镜口径,相对孔径以及环形小棱镜的宽度(环距)三个参数,获得了用于太阳光泵浦激光器的菲涅耳透镜。     

用菲涅耳衍射理论分析双光栅成像效应

从理论上对双光栅成像效应现象进行研究,分别从菲涅耳衍射理论和平面透射光栅的菲涅耳衍射公式出发,分析了物光波经过两个平行放置的平面透射光栅组成的系统衍射后的复振幅分布。分析结果表明,在理想状态下,当两个光栅的放置位置满足一定条件时,在第二个光栅后面可以观察到一个清晰的原物体图像。理论分析解释了两个光栅在双光栅成像效应中的作用,得到了双光栅成像效应发生时,两个光栅的空间频率、衍射光级数以及光栅放置位置之间的关系式,这与实验所得结果相一致。     

High frequency acoustic microscopy with Fresnel zoom lens

The acoustic field distributions and the convergent beams generated by the planar-structure Fresnel zone transducers on solid surface are investigated. Because only 0 and 180 degree phase transducers are used, an imaging system with the Fresnel zoom lens could work at very high frequency, which overcomes the frequency limit of the traditional phased array acoustic imaging system. Simulation results are given to illustrate the acoustic field distributions along the focal axis and the whole plane as well. Based on the principle of scanning of the focus with the change of frequency for the excited signal, an experimental imaging system is also built. Acoustic Fresnel zone transducers are fabricated at center frequency of 400 MHz. Measurements and detections of the known hole flaws at different depths of the fused quartz sample are presented to show that the imaging system with Fresnel zoom lens could move its focus by only changing the frequency of the excited signal.     

软X射线Bragg-Fresnel二维聚焦镜的设计理论和方法

Ｘ射线Ｂｒａｇｇ－Ｆｒｅｓｎｅｌ元件是近十年发展起来的一种用于Ｘ射线波段的新型光学元件。本文介绍一种具有二维聚焦效能的Ｂｒａｇｇ－Ｆｒｅｓｎｅｌ元件的设计理论和方法。设计中采用衍射理论并用Ｃ语言编制计算机程序系统对衍射图形进行设计。对于使用波长１３．８ｎｍ，入射角５°，使用焦距２００ｍｍ的使用条件，设计结果为３５Ｍｏ／Ｓｉ双层多层膜，周期厚度７．１４ｎｍ，理论反射率约为６０％；衍射图形共４００个环带，最内环半宽度５２．５μｍ，最外环宽度１．３μｍ。     

高衍射效率闪耀全息透镜

提出一种制作位相全息透镜－闪耀全息透镜新设计，利用它可使位相全息透镜的位相分布类似位相菲涅耳透镜，其衍射效率理论值可达９５％以上，但其制作过程要比位相菲涅耳透镜容易，文中给出了原理分析和实验验证，初步结果是令人满意的。     

基于光学菲涅耳衍射的"盲数字水印"技术

基于光学菲涅耳衍射,设计了一种新的“盲数字水印”计算方法。水印图像通过离散菲涅耳衍射变换成一复矩阵,将此复矩阵的实部和虚部分开,分别嵌入到宿主图像的不同位置中。通过将水印嵌入点的宿主图像的像素值更改为其近邻像素值的均值,而实现“盲水印”的提取。数值计算结果表明:该水印计算法对像素变换攻击具有很强的鲁棒性,如图像亮度、对比度和灰度曲线的调整;能抵抗JPEG有损压缩、剪切和噪声污染攻击;能抵抗对图像的重采样攻击,可从显示屏幕拷贝的图像中提取水印。由于该方法为使用者提供了灵活的水印嵌入方式和双重密钥的选取,以及提取水印不需要原始图像数据,因而使该方法具有很高的安全性和实用价值。     

大型菲涅耳透镜的设计和制造

介绍一种大口径六环组合光学玻璃大型菲涅耳透镜的光学设计原理、整体工艺方案、各个球面环带的工艺计算和加工方法 ;讨论了大型菲涅耳透镜的光学胶合以及整体扇型切割成型方法 ;给出了研制成功大型菲涅耳透镜的光学检测结果。     

Fresnel biprism as a 1D refractive axicon

Fresnel biprism is a one dimensional refractive element that has a lateral linear phase. Having been considered this element as a refractive axicon, its focal depth was evaluated theoretically and experimentally by means of Fresnel–Kirchhoff integral. It is shown that its focal length is a function of its refractive index and its apex angle. Experimental results are in very good agreement with theoretical work.     

等厚型平板菲涅尔透镜设计与研究

针对当前曲面菲涅尔透镜普遍存在的加工工艺复杂、面型精度难于控制、制作成本较高等问题,在研究非等厚型平板菲涅尔透镜设计方法的基础上,提出一种中心透镜为球面、外侧环带为倾斜面的等厚型平板菲涅尔透镜的设计方法,给出了具体的设计实例,并进行了建模和光学仿真,模拟结果表明:该菲涅尔透镜设计的光学效率达到90.7%。     

圆屏(球)和圆环菲涅耳衍射的解析表达式

在标量衍射理论的基础上，给出了圆屏（球）和圆环菲涅耳衍射的振幅及光强解极表达式。计算了光强分布曲线，并将计算实例和有关资料中的实验与计算结果进行了比较。同时指出所谓无衍射光束实际上是一种菲涅耳衍射现象。     

High concentration and homogenized Fresnel lens without secondary optics element

In this paper, we design a single concentrator to homogenize and concentrate the solar energy. The proposed concentrator only consisted of an array of refraction prisms. In order to homogenize the irradiance, all pitches of the Fresnel concentrator focus on the different position of the receiver. Finally, the Fresnel lens that achieves the uniformity of U is 14.6. An acceptance angle of 0.305° is achieved without using additional secondary optics. Full Width at Half Maximum (FWHM) of illumination distribution is 1.4 mm.     

Characteristics pathlength Fresnel number equations and ideal lens wavefront Kirchhoff formulation: analysis of focused spherical wave diffraction fields

Derivation and applications of the characteristics optical pathlength Fresnel number equation for spherical waves focused by an ‘ideal’ circular lens illustrate the wealth of information which is quickly available from its use. A Kirchhoff wavefront diffraction formulation of this problem is developed and used to aid in this analysis. New characteristics about the diffraction field are revealed.     

Quantum-mathematical model of edge and peak point in Fresnel diffraction through a slit

The intensity distribution in Fresnel diffraction through a slit includes numerous small fluctuations referred to as ripples. These ripples make the modelling of the intensity distribution complicated. In this study, we examine the characteristics of the Fresnel diffraction intensity distribution to deduce the rule for the peak position and then propose two types of quantum-mathematical models to obtain the distance between the edge and the peak point. The analysis and simulation indicate that the error in the models is below 0.50 μm. The models can also be used to detect the edges of a diffraction object, and we conduct several experiments to measure the slit width. The experimental results reveal that the repetition accuracy of the method can reach 0.23 μm.     

高斯光束通过双焦透镜的聚焦特性

 从Collins公式出发,研究了高斯光束通过双焦透镜后的聚焦特性。在无光阑的情况下,给出了轴上光强和x, y方向两束腰及其位置的解析公式。详细的数值计算表明,轴上光强最大点位于其中一个束腰位置附近或者相重合,但始终不能超过透镜较大的焦点。并且,相对束腰的位移随光阑效应的增加而增加。     

部分相干光照明下光栅的塔尔博特效应

首先利用部分相干光理论详细地分析了在部分相干光照明下光栅的菲涅耳衍射,给出了观察面上衍射光强分布的一般公式,并就光源的发光面积对光栅塔尔博特效应的影响进行了讨论,得到了光栅衍射光强的分布随着照明光源的发光尺寸的增加而逐渐变得平滑这一结论．并且,当光源发光尺寸增加到毫米量级时,光栅的塔尔博特效应将完全消失。在实验上埘不同发光尺寸的扩展作相干光源照明光栅时的菲涅耳衍射光强进行了测量,实验结果与理论分析得出的结论相符合。     

Diffraction of light by ultrasound in paratellurite crystals under Fresnel reflection conditions

We show that layers of acousto-optic gyrotropic paratellurite crystals perturbed by ultrasound can be used as efficient light modulators in transmission and reflection mode. We have established that the relative intensities of the diffracted waves are determined by the ratio of the refractive indices of the bounding media, the intensity of the ultrasound, and the thickness of the modulated layer. We show that for an asymmetric diffraction structure, efficient acousto-optic conversion is possible in reflection mode, and the weak effect of the gyrotropy is due to its suppression by Fresnel reflection at the boundaries of the layer. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 73, No. 6, pp. 819–823, November–December, 2006.